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SUMMARY:One-sided versus two-sided dependence.
DTSTART;VALUE=DATE-TIME:20190408T090000Z
DTEND;VALUE=DATE-TIME:20190408T095000Z
DTSTAMP;VALUE=DATE-TIME:20200811T043440Z
UID:indico-contribution-3679@indico.math.cnrs.fr
DESCRIPTION:Speakers: Aernout van Enter ()\nStochastic systems can be par
ametrised by time (like Markov chains)\,in which conditioning is one-sided
(the past)or by one-dimensional space (like Markov fields)\, where condit
ioning is two-sided (right and left).I will discuss some examples\, in par
ticular generalising this to g-measures versus Gibbs measures\, where\, in
stead of a Markovian dependence\, the weaker property of continuity (in th
e product topology) is required. In particular I will discuss when the two
descriptions (one-sided or two-sided) produce the same objects and when t
hey are different.We show moreover the role one-dimensional entropic repul
sion plays in this setting.\nJoint work with R. Bissacot\, E. Endo and A.
Le Ny\n\nhttps://indico.math.cnrs.fr/event/4251/contributions/3679/
LOCATION:Villa Finaly
URL:https://indico.math.cnrs.fr/event/4251/contributions/3679/
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